Average

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   9  0.9110  0.013  0.123  0.681  0.767  0.72
Ax 1995   12  0.9034  0.0019  0.1513  0.571  0.7712  0.66
Bacha 1998   41  0.8063  0.0049  0.0462  0.042  0.5559  0.15
Barbosa 1983   54  0.7416  0.0126  0.0829  0.261  0.6729  0.42
BenOr 1989   59  0.7128  0.0046  0.0558  0.052  0.6151  0.17
Biret 1990   23  0.8741  0.0029  0.0823  0.301  0.7123  0.46
Brailowsky 1960   38  0.8253  0.0044  0.0834  0.081  0.6834  0.23
Chiu 1999   44  0.7960  0.0052  0.0464  0.0412  0.5162  0.14
Clidat 1994   14  0.909  0.0214  0.1317  0.522  0.7318  0.62
Cohen 1997   61  0.6656  0.0062  0.0546  0.0511  0.4957  0.16
Cortot 1951   64  0.4855  0.0064  0.0548  0.0520  0.2764  0.12
Csalog 1996   29  0.8658  0.0037  0.0550  0.052  0.5648  0.17
Czerny 1989   37  0.8331  0.0039  0.0643  0.061  0.5643  0.18
Ezaki 2006   2  0.9311  0.019  0.1312  0.581  0.7711  0.67
Falvay 1989   21  0.884  0.0518  0.1214  0.571  0.7413  0.65
Fiorentino 1962   10  0.9112  0.0115  0.1716  0.541  0.7515  0.64
Fliere 1977   16  0.8959  0.0021  0.1219  0.413  0.6621  0.52
Fou 1978   22  0.8714  0.0122  0.1421  0.391  0.8019  0.56
Francois 1956   53  0.7546  0.0057  0.0642  0.0611  0.5346  0.18
Goldenweiser 1946   63  0.5849  0.0063  0.0560  0.0521  0.3463  0.13
Gornostaeva 1994   62  0.6550  0.0053  0.0461  0.044  0.5561  0.15
Groot 1988   36  0.8322  0.0040  0.0736  0.071  0.6735  0.22
Hatto 1993   7  0.9124  0.004  0.134  0.683  0.814  0.74
Hatto 1997   4  0.9230  0.006  0.146  0.663  0.815  0.73
Horszowski 1983   52  0.7661  0.0055  0.0556  0.051  0.6047  0.17
Indjic 2001   5  0.9218  0.005  0.175  0.673  0.813  0.74
Katin 1996   19  0.8842  0.0032  0.0731  0.204  0.6831  0.37
Kiepura 1999   60  0.6944  0.0059  0.0554  0.055  0.4952  0.16
Korecka 1992   56  0.7362  0.0061  0.0545  0.056  0.5354  0.16
Kushner 1990   57  0.7339  0.0043  0.0638  0.062  0.6438  0.20
Lilamand 2001   45  0.7826  0.0048  0.0557  0.055  0.5749  0.17
Luisada 1990   48  0.7832  0.0045  0.0552  0.053  0.6545  0.18
Luisada 2008   46  0.7836  0.0047  0.0463  0.044  0.6455  0.16
Lushtak 2004   30  0.8615  0.0124  0.1122  0.331  0.7722  0.50
Malcuzynski 1951   13  0.907  0.038  0.127  0.652  0.808  0.72
Malcuzynski 1961   33  0.8543  0.0013  0.1115  0.552  0.7316  0.63
Magaloff 1977   40  0.8147  0.0042  0.0641  0.061  0.6639  0.20
Magin 1975   32  0.8538  0.0036  0.0644  0.064  0.6637  0.20
Meguri 1997   55  0.7433  0.0020  0.1328  0.282  0.5730  0.40
Milkina 1970   15  0.8921  0.0016  0.1818  0.511  0.7517  0.62
Mohovich 1999   17  0.886  0.0312  0.138  0.621  0.7610  0.69
Nezu 2005   18  0.8817  0.0110  0.159  0.611  0.846  0.72
Ohlsson 1999   28  0.8620  0.0031  0.0733  0.134  0.6133  0.28
Olejniczak 1990   34  0.8423  0.0038  0.0640  0.061  0.6540  0.20
Osinska 1989   6  0.912  0.132  0.172  0.731  0.862  0.79
Perlemuter 1992   58  0.7265  0.0060  0.0551  0.057  0.4858  0.15
Poblocka 1999   3  0.935  0.0311  0.1210  0.611  0.829  0.71
Rangell 2001   11  0.9145  0.0017  0.1120  0.401  0.7420  0.54
Richter 1960   51  0.7740  0.0041  0.0549  0.053  0.5550  0.17
Richter 1961   43  0.8048  0.0033  0.0832  0.165  0.5832  0.30
Rosen 1989   39  0.8152  0.0051  0.0547  0.058  0.4560  0.15
Rubinstein 1939   27  0.8735  0.0027  0.0824  0.296  0.6527  0.43
Rubinstein 1952   35  0.8325  0.0035  0.0735  0.074  0.6336  0.21
Rubinstein 1966   31  0.8629  0.0034  0.0639  0.0610  0.5444  0.18
Rudanovskaya 2007   49  0.7757  0.0056  0.0553  0.0512  0.4956  0.16
Shebanova 2002   8  0.913  0.057  0.1911  0.582  0.7114  0.64
Smith 1975   42  0.8051  0.0050  0.0555  0.057  0.5153  0.16
Sztompka 1959   50  0.7754  0.0058  0.0737  0.0710  0.5241  0.19
Tanyel 1992   24  0.878  0.0323  0.1230  0.261  0.7128  0.43
Tsujii 2005   1  0.961  0.491  0.481  0.821  0.821  0.82
Uninsky 1959   25  0.8719  0.0030  0.0925  0.292  0.6724  0.44
Vardi 1988   26  0.8713  0.0125  0.1026  0.281  0.7025  0.44
Wasowski 1980   47  0.7837  0.0054  0.0559  0.053  0.6742  0.18
Zimerman 1975   20  0.8827  0.0028  0.0727  0.281  0.7026  0.44
Average   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 1   66  -0.1066  0.0066  0.0266  0.0252  0.0366  0.02
Random 2   65  -0.0667  0.0065  0.0265  0.0259  0.0365  0.02
Random 3   67  -0.1764  0.0067  0.0167  0.0156  0.0367  0.02
Note: To load data table give above into Excel, copy and paste the data into a text editor (such as WordPad) first, then copy the text in the editor and past into Excel. You should remove the "target" line from the data before pasting into Excel so that plotting graphs of the data is done properly.

Column descriptions

  • Performance:
  • 0-Rank/0-Score: 0-Score is equivalent to Pearson correlation of the entire data sequence between the reference performance and a test performance. 0-Rank is the sorting order of the 0-scores (highest score has a rank of 1).
  • 1-Rank/1-Score: 1-Score is the area fraction covered by a particular performance in the scape plot (see image above). These values should not be taken literally, since they are sensitive to the Hatto Effect.
  • 2-Rank/2-Score: 2-Score values are equivalent to 1-Score values with all higher-ranking performances removed before the calculation of the area of coverage in the scape is calculated. Improvment over the 1-Rank scores, but still somewhat sensitive to the Hatto Effect.
  • 3-Rank/3-Score: Similar to 2-Rank calculations. The bottom 1/2 of the 2-rank performances are kept constant as a noise floor for the similarity measurement. Then one-by-one the top 1/2 of the 2-rank performances are superimposed with the noise-floor performances, and a 3-score is measured as the area covered in the scape. This measure is not sentisive to the Hatto Effect.
  • 3R-Rank/3R-Score: Reverse 3-rank/3-scores. 3-rankings and scores are not symmetric (A->B values are different from B->A values). So this column represents similarity measures in the opposite direction.
  • 4-Rank/4-Score: The geometric mean between 3-scores and 3R-scores. This column gives the best overall similarity ranking between the various performances (see color codes below).
  • NED: Noise Equivalient Distance (not yet implemented)

Color codes for 3-rank listings:

  • red = strongly similar performance to target
  • orange = moderately similar performance
  • yellow = weakly similar performance
  • green = marginally similar/dissimilar performance
  • white = dissimilar to target
  • blue = false positive (has high 3-rank score but low 3R-rank score)

3-rank/scores are not symmetric, so the 3R-rank/score columns give the 3-rank/scores going in the opposite direction. More matches in the 3-rank column than in the 3R-rank column indicates an individualistic performance, while more matches in the 3R-rank column indicates a mainstream performance.

If a 3-rank and a 3R-rank are both marked as similar to each other, then there is a possible direct relation between the performances. If one is similar to the other but not in the reverse direction, then the similarity is more likely to be by chance (performers randomly chose a similar interpretation).